llm_directed: directed sex (breed offspring + select on verifier) — E10 in real weights
Adds the "directed sex" operator (E10) the moe regime-flip pointed to: don't
commit to one a-priori blend — breed a population of recombinant offspring
(specialists merged at Dirichlet-sampled weights), score each on a held-out
validation split with the verifier, and keep the fittest, reported on a fresh
test split. Two breeding objectives: best-overall and best-worst-family.
src/llm/directed.py + kind llm_directed, reusing the cached specialists.
Result — refinements pay off in proportion to how far the uniform soup is from
optimal:
- 0.5B (soup dilutes): directed selection beats soup on the bred objective —
directed_overall 0.69 > soup 0.64; directed_balanced worst-family 0.37 > 0.26.
Riders: single-objective selection trades off the other axis (overall-breed
tanks lists to 0.17); a global blend still trails per-input routing (0.74).
- 7B (Imperial CX3, soup already composes to ceiling on near-saturated families,
strings/arith 1.00): directed ~= soup (0.868 ~ 0.873, marginally below via a
val/test overfit gap) — no fitter offspring to breed.
Through-line across all four LLM runs: "merge, don't average" and its refinements
(routing, directed selection) are weak-base / suboptimal-default phenomena — they
help at 0.5B and are inert at 7B. Honest limitation kept in the writeup: the 7B
families are near-saturated, which caps the headroom; a harder unsaturated
benchmark is the fair next test.
Also folds in the two llm_moe local manifest/config files missed in 8da0dac.
+3 directed unit tests (130 green). Results in results/llm_directed{,_hpc}/
(parquet gitignored).
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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# llm_directed_hpc — directed sex at scale (7B): no headroom once the soup already composes
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**Claim tested.** At 0.5B, breeding offspring and selecting on the verifier beat the uniform soup
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(`llm_directed`: directed 0.69 > soup 0.64). But `llm_merge_hpc` showed the 7B soup already *composes*
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to 0.87, beating every specialist. So the honest question: does searching the recombination-weight
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space + selecting on the verifier find anything better than that strong default — or is there simply no
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headroom left? Run on one **L40S (46 GB)** GPU of Imperial's CX3 HPC, 9 min walltime, 24 offspring,
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reusing the cached 7B specialists.
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**Setup.** Base **Qwen2.5-7B-Instruct**, cached 7B specialists, **24 offspring** (Dirichlet-weighted
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merges, concentration 0.5, candidate 0 = uniform soup), scored on a **100-task/family validation**
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split, winners reported on a **fresh 200-task/family test** split. Seed 1.
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### Results (test accuracy)
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| model | lists | strings | arith | overall | worst-family |
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|---|---|---|---|---|---|
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| best specialist (lists) | 0.57 | 0.74 | 1.00 | 0.77 | 0.57 |
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| merge_soup (uniform, candidate 0) | 0.62 | 1.00 | 1.00 | **0.873** | 0.625 |
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| directed_overall (bred for overall) | 0.62 | 1.00 | 1.00 | 0.868 | 0.615 |
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| directed_balanced (bred for worst-family) | 0.62 | 1.00 | 1.00 | 0.868 | 0.615 |
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### The finding: directed selection is inert once the default is already near-optimal
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- **Directed ≈ soup, and marginally below it (0.868 vs 0.873).** Both breeding objectives converged to
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a near-soup blend, and the validation-selected winner is a *hair* worse than the plain uniform soup
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on the held-out test set — a small val/test generalisation gap (selection overfits the 100-task/
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family validation split). Searching 24 offspring found nothing that beats candidate 0.
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- **Why: no headroom.** The 7B soup already *composes* to the ceiling on these families — strings and
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arith are saturated at **1.00**, and lists (0.62) is the only slack, itself already above every
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specialist. When the default blend is already optimal, there is no fitter offspring to breed, so
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selection can only match it (or lose slightly to val noise).
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- **Honest limitation.** These task families are *near-saturated* at 7B (2 of 3 at 1.00), which
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structurally caps the headroom any recombination refinement could exploit. A fair test of directed
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sex at scale needs a **harder, unsaturated** benchmark where the optimal blend is non-trivial — this
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run cannot distinguish "directed sex doesn't help at scale" from "these tasks are too easy at 7B."
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### Takeaway — the through-line across all four LLM runs
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The value of every recombination *refinement* (routing, directed selection) scales with **how far the
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default uniform soup is from optimal**:
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- **0.5B** — soup *dilutes* (far from optimal): routing beats soup (0.74 > 0.64), directed selection
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beats soup (0.69 > 0.64). Refinements pay off.
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- **7B** — soup *composes* to near-ceiling on saturated tasks: routing < soup (0.84 < 0.87), directed
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≈ soup (0.868 ≈ 0.873). No headroom; refinements are inert.
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So "merge, don't average" and its refinements are **weak-base / suboptimal-default** phenomena. The
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open question a capable base leaves is whether directed sex helps on *hard, unsaturated* tasks at scale
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— the natural next benchmark. **Falsifier for this run (triggered as a null, reported honestly):**
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directed offspring failed to exceed the uniform soup at 7B; here they tied/marginally trailed it
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because the soup was already optimal on near-saturated families. Provenance in `manifest.json`
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(L40S, torch 2.12.1 / transformers 5.13.0 / peft 0.19.1; `git_commit: null` — rsync'd node copy).
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